from manim import *



class math1(MovingCameraScene):
    def construct(self):
        self.camera.background_color = BLACK  # 设置背景颜色
        self.camera.frame_width = 100  # 设置边框宽度
        self.camera.frame_height = 60  # 设置边框高度
        self.camera.pixel_height = 1080  # 设置像素高度
        self.camera.pixel_width = 1920  # 设置像素宽度
        self.camera.center = ORIGIN  # 设置中心点位置
        self.camera.scale_factor = 1.0  # 设置缩放因子
        #设置横线
        for i in range(6*2+1):       
            dot1=Dot([-50,5*(i-6),0]).set_opacity(0.5)
            dot2=Dot([50,5*(i-6),0]).set_opacity(0.5)
            if i==6:
                line1=Line(dot1,dot2).set_color(WHITE).set_opacity(0.5)
                
            else:
                line1=Line(dot1,dot2).set_color(WHITE).set_opacity(0.5)
               
            self.add(dot1,dot2,line1)
        #设置竖线
        for i in range(10*2+1):        
            dot3=Dot([(i-10)*5,-30,0]).set_opacity(0.5)
            dot4=Dot([(i-10)*5,30,0]).set_opacity(0.5)
            if i==10:
                line2=Line(dot3,dot4).set_color(WHITE).set_opacity(0.5)
                
            else:
                line2=Line(dot3,dot4).set_color(WHITE).set_opacity(0.5)
            self.add(dot3,dot4,line2)
        #设置三个点
        dot1 = Dot(radius=1, color=RED)  
        dot1.move_to([-47.5,27.5,0]) 
        dot2 = Dot(radius=1, color=YELLOW)  
        dot2.move_to([-42.5,27.5,0])  
        dot3 = Dot(radius=1, color=GREEN)  
        dot3.move_to([-37.5,27.5,0])
        #镜头跟进效果 
        self.camera.frame.save_state()
        #题目出现
        text = Tex(r"\text{已知}$H\left( 0\right) =0 ,H\left( 1\right) =0,H\left( \frac{1}{2}\right)  >0$"
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0)
        text1 = Tex(
                   r"$ H\left( x\right) =F\left( x\right) -x^{2}$"+
                    r"\text{即证}$H''\left( \xi \right)  <0(\xi \in \left( 0,1\right) )$"
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([0,-5,0])
     

        self.play(Write(text),self.camera.frame.animate.scale(0.8),Write(text1))
        #镜头拉回
          #分析文本
        #text100=MarkupText("<b><i>分析/解：</i></b>",color=PINK).scale(5.0).move_to([-38,12.5,0])
        self.play(Restore(self.camera.frame))
        self.play(FadeIn(dot1),run_time=0.1)
        self.play(FadeIn(dot2),run_time=0.1)
        self.play(FadeIn(dot3),run_time=0.1)
        #题目向上移动
        self.play(text.animate().move_to([0,20,0]),text1.animate().move_to([0,15,0]) ) 




        #箭头引出
        arrow = Arrow(start=[28,19,0],end=[22,17,0], color=RED
                       , stroke_width=20, tip_length=1)
        self.play(Create(arrow))
        #文本
        long_text=("特征识别:\n"
                     "中值不等式")
        text1 = Text(long_text,color=YELLOW,
                   font_size=200).move_to([37,22,0])
        #框框标
        rectangle=Rectangle(color=BLUE,fill_opacity=0.0,width=17,height=5
                            ,stroke_color=BLUE,stroke_width=20)
        rectangle.move_to([10, 15, 0])
        self.play(Create(rectangle),Create(text1))
        #箭头引出
        arrow1 = Arrow(start=[12.5,10,0],end=[12.5,5,0], color=RED
                       , stroke_width=20, tip_length=1)
        #文本
        text2 = Tex(r"\text{触发}",color=YELLOW
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([20,8,0])
        self.play(Create(arrow1),Create(text2))
        text3 = Tex(r"\text{反证法}",color=DARK_BLUE
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([12.5,2,0])
        self.play(Create(text3))
        #框框标
        text4 = Tex(r"\text{假设}$H^{''}\left( x\right) \geq 0( 0 <x < 1) $",color=GREEN
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([12.5,-3,0])
    
        self.play(Create(text4))
        text5 = Tex(r"\text{由琴声不等式}$H\left( \dfrac{1}{2}\right) \leq \dfrac{H\left( 0\right) +H\left( 1\right) }{2}$",color=GREEN
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([12.5,-10,0])
        self.play(Create(text5))
         #半透明矩阵扩展
        rectangle4=Rectangle(color=BLUE,fill_opacity=0.5,width=1,height=2.8
                            ,stroke_color=YELLOW,stroke_width=0).move_to([0,20,0])
        self.play(
            rectangle4.animate.stretch(40.0,dim=0)
        )
        
        text6 = Tex(r"\text{矛盾！}",color=PURE_RED
                   ,tex_template=TexTemplateLibrary.ctex).scale(15.0).move_to([-35,-5,0])
        self.play(Create(text6))
        self.play(FadeOut(text6))
        self.wait()